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Teoreticheskaya i Matematicheskaya Fizika, 2021, Volume 209, Number 3, Pages 414–426
DOI: https://doi.org/10.4213/tmf10118 (Mi tmf10118) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Homothetic vector fields of LRS Bianchi type-I spacetimes via the RIF tree approach

U. Nasiba, T. Hussaina, A. H. Bokharib

a Department of Mathematics, University of Peshawar, Pakistan
b Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
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DOI: https://doi.org/10.4213/tmf10118
Abstract: We adopt a new approach to the study of homothetic vector fields of locally rotationally symmetric Bianchi type-I spacetimes. The obtained results are compared with the results of the direct integration technique and it is observed that the reduced involutive form (RIF) tree approach produces some new physically realistic metrics admitting proper homothetic vector fields, which were not given by the direct integration technique. The physical implications of the obtained metrics are also discussed by computing their energy–momentum tensors and connecting the parameters involved in the metrics with different energy conditions.
Keywords: homothetic symmetries, LRS Bianchi type-I spacetime, energy condition.
Received: 24.04.2021
Revised: 14.06.2021
English version:
Theoretical and Mathematical Physics, 2021, Volume 209, Issue 3, Pages 1673–1682
DOI: https://doi.org/10.1134/S0040577921120023
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: U. Nasib, T. Hussain, A. H. Bokhari, “Homothetic vector fields of LRS Bianchi type-I spacetimes via the RIF tree approach”, TMF, 209:3 (2021), 414–426; Theoret. and Math. Phys., 209:3 (2021), 1673–1682
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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